What is the Least Common Multiple of 34260 and 34268?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 34260 and 34268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34260 and 34268, than apply into the LCM equation.

GCF(34260,34268) = 4
LCM(34260,34268) = ( 34260 × 34268) / 4
LCM(34260,34268) = 1174021680 / 4
LCM(34260,34268) = 293505420

Least Common Multiple (LCM) of 34260 and 34268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34260 and 34268. First we will calculate the prime factors of 34260 and 34268.

Prime Factorization of 34260

Prime Factorization of 34268

Now multiplying the highest exponent prime factors to calculate the LCM of 34260 and 34268.

LCM(34260,34268) = 2² × 3¹ × 5¹ × 571¹ × 13¹ × 659¹
LCM(34260,34268) = 293505420